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8. For a standard normal distribution ?, find the following probability.?(? < −1.17)?(? > −1)?(0.33 < ? < 0.96)


8. For a standard normal distribution ?, find the following probability.

  1. ?(? < −1.17)

  2. ?(? > −1)

  3. ?(0.33 < ? < 0.96)

Step 1

Standard normal distribution:

The random variable X follows normal distribution that has mean µ and the standard deviation σ. Then z follows standard normal distribution defined as,

Step 2
  1. The value of P( z < –1.17) is obtained as follows:
Step 3
  1. The value of P( z >–1) is obtained as...

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